TIPS4Math Grade 5 Collect, Organize and Interpret Numerical Data

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1 Collect, Organize and Interpret Numerical Data Overall Expectations Students will: Collect and organize discrete or continuous primary data and secondary data and display the data using charts and graphs, including broken-line graphs; (5m71) Read, describe, and interpret primary data and secondary data presented in charts and graphs, including broken-line graphs (5m72) Specific Expectations Students will: Distinguish between discrete data (i.e., data organized using numbers that have gaps between them, such as whole numbers, and often used to represent a count, such as the number of times a word is used) and continuous data (i.e., data organized using all numbers on a number line that fall within the range of the data, and used to represent measurements such as heights or ages of trees) (5m74) Collect data by conducting a survey or an experiment to do with themselves, their environment, issues in their school or community, or content from another subject, and record observations or measurements (5m75) Collect and organize discrete or continuous primary data and secondary data and display the data in charts, tables, and graphs (including broken-line graphs) that have appropriate titles, labels, and scales that suit the range and distribution of the data, using a variety of tools (5m76) Demonstrate an understanding that sets of data can be samples of larger populations (5m77) Describe, through investigation, how a set of data is collected and explain whether the collection method is appropriate (5m78) Read, interpret, and draw conclusions from primary data and from secondary data, presented in charts, tables, and graphs (including broken-line graphs) (5m79) Calculate the mean for a small set of data and use it to describe the shape of the data set across its range of values, using charts, tables, and graphs (5m80) Compare similarities and differences between two related sets of data, using a variety of strategies (5m81) Specific Lesson Learning Focus Expectations Discrete versus Distinguish between discrete data and continuous data (primary and secondary data) 5m74 Continuous Data Investigate different graphs, tables and charts of discrete and continuous data 5m76 Read and interpret data from graphs, tables and charts 5m79 Collect and Display Collect data by conducting a survey and record observations or measurements 5m75 Data Explain the appropriateness of the method of the collection of data and the graph 5m76 chosen to display the data 5m77 Display data using a broken-line graph when appropriate, as well as previously studied 5m78 graphs EduGAINS-Mathematics Page 1 of 10

2 Collect, Organize and Interpret Numerical Data (continued) Lesson Learning Focus Specific Expectations Read and Interpret Read and interpret primary data presented in graphs, tables, and charts 5m79 Data Central Tendency Distinguish between mean, median and mode 5m80 Compare similarities and differences between related sets of data found in tally charts, 5m81 stem and leaf plots, double bar graphs, broken line graphs Describe the shape of the data relative to the various measures of central tendency Represent Central Determine mean, median and mode for data presented in tables, charts and graphs 5m80 Tendency Describe the shape of the data relative to the measures of central tendency 5m81 Consolidation and Summative Tasks EduGAINS-Mathematics Page 2 of 10

3 Discrete versus Continuous Data Specific Expectations: 5m74, 5m76, 5m79 Learning Focus Blended Learning Other Resources Teacher Guide Unit 5 Activity 2: Collecting, Organizing and Interpreting Data OERB ID: ELO pp 68 80: Grade 5 Minds On Review characteristics of graphs, Unit 5 Activity 2: Action Part A Learning Activity: Daily tables and charts (e.g., titles, OERB ID: ELO Physical Activity labels and scales) using a variety Managing Data With Danger Part 2 of tools e.g., (graph paper, simple Collecting and Organizing Primary Data spreadsheets, dynamic statistical OERB ID: ELO software) Action Distinguish between discrete data Unit 5 Activity 2: Action Part A and continuous data (primary and Managing Data With Danger Discrete secondary data) Versus Continuous Data Investigate different graphs, tables OERB ID: ELO and charts of discrete and continuous data Read and interpret data from investigation of different tables and graphs graphs, tables and charts and reading and interpreting data Consolidation Unit 5 Activity 2: Action Part B Displaying and Interpreting Data Purposeful Practice 1. Types of Data EduGAINS-Mathematics Page 3 of 10

4 Collect and Display Data Specific Expectations: 5m75, 5m76, 5m77, 5m78 Learning Focus Minds On Understand and demonstrate how a set of data is collected (e.g., survey, measurement, observation) and can be samples of larger sizes Action Collect data by conducting a survey and record observations or measurements Explain the appropriateness of the method of the collection of data and the graph chosen to display the data Display data using a broken-line graph when appropriate, as well as previously studied graphs Blended Learning Teacher Guide Unit 5 Activity 2: Collecting, Organizing and Interpreting Data OERB ID: ELO Unit 5 Activity 2: Action Part A Managing Data With Danger Part 3 Using Spreadsheets to Create Graphs OERB ID: ELO Unit 5 Activity 2: Action Part B Displaying and Interpreting Data Tracking Hurricanes Using Graphs OERB ID: ELO Other Resources pp 68 80: Grade 5 Learning Activity: Daily Physical Activity mathies Notepad Consolidation collection and display of primary data using broken-line graphs EduGAINS-Mathematics Page 4 of 10

5 Read and Interpret Data Specific Expectations: 5m79 Learning Focus Minds On Review data collection and display Action Read and interpret primary data presented in graphs, tables, and charts Blended Learning Teacher Guide Unit 5 Activity 2: Collecting, Organizing and Interpreting Data OERB ID: ELO Unit 5 Activity 2: Action Part B Displaying and Interpreting Data OERB ID: ELO Assignment 1: Interpreting Line Graphs of Temperature Other Resources pp 68 80: Grade 5 Learning Activity: Daily Physical Activity Consolidation read, interpret and draw conclusions from primary and secondary data EduGAINS-Mathematics Page 5 of 10

6 Central Tendency Specific Expectations: 5m80, 5m81 Learning Focus Blended Learning Other Resources Teacher Guide Probability Grades 4 to 6 Unit 5 Activity 1: Investigating Mean OERB ID: ELO Minds On Develop an understanding of mean Unit 5 Activity 1: Minds On OERB ID: ELO Redistribute connecting cubes to develop a sense of mean Action Distinguish between mean, median and mode Compare similarities and differences between related sets of data found in tally charts, stem and leaf plots, double bar graphs, broken line graphs Describe the shape of the data relative to the various measures of central tendency Consolidation Unit 5 Activity 1: Action Mean Investigation How to Calculate an Average Video distinguishing between mean, median and mode; and the use of mean to describe the shape of the data set across its range of values Unit 5 Activity 1: Action Assignment 1: Mean relating mean to the mode and median and comparing data sets pp 68 80: Grade 5 Learning Activity: Daily Physical Activity EduGAINS-Mathematics Page 6 of 10

7 Represent Central Tendency Specific Expectations: 5m80, 5m81 Learning Focus Blended Learning Other Resources Teacher Guide Probability Grades 4 to 6 Unit 5 Activity 1: Investigating Mean OERB ID: ELO Minds On Review mean, median and mode Unit 5 Activity 1: Action OERB ID: ELO Discussion mean and group sizes Action Consolidation Determine mean, median and mode for data presented in tables, charts and graphs Describe the shape of the data relative to the measures of central tendency Unit 5 Activity 1: Action The Beat Goes On Graphing Heart Rates with Broken Line Graphs OERB ID: ELO determining mode and median and describing the shape of the data set across its range of values Unit 5 Activity 1: Consolidation Assignment 2: More Mean relating mean, median and mode; use of mean, median and mode to describe the shape of the data set across its range of values pp 68 80: Grade 5 Learning Activity: Daily Physical Activity mathies Colour Tiles Notepad Consolidation & Summative Tasks Specific Expectations: 5m74, 5m75, 5m76, 5m77, 5m78, 5m79, 5m80, 5m81 Blended Learning Other Resources EduGAINS-Mathematics Page 7 of 10

8 Discrete versus Continuous Data Resource URL Teacher Guide: Unit 5 Activity 2: Collecting, html Organizing and Interpreting Data Managing Data With Danger Part 2 Collecting and Organizing GRD5MTHEU05A02/mme/Gr5_Math_Data_ManagingDatawithDangerP2/Gr5_Math_Data_Man- Primary Data agingdatawithdangerp2_of/lo1119.html Managing Data With Danger Discrete Versus Continuous Data GRD5MTHEU05A02/mme/Gr5_Math_Data_ManagingDatawithDangerP1/Gr5_Math_Data_ManagingDatawithDanger_P1_OF/LO1118.html Unit 5 Activity 2: Action Part B GRD5MTHEU05A02/content_3.html ty%204-6.pdf Collect and Display Data Resource URL Teacher Guide: Unit 5 Activity 2: Collecting, html Organizing and Interpreting Data Managing Data With Danger Part 3 Using Spreadsheets to Create GRD5MTHEU05A02/mme/Gr5_Math_Data_ManagingDatawithDangerP3/Gr5_Math_Data_Man- Graphs agingdatawithdanger_p3_of/lo1120.html Tracking Hurricanes Using Graphs GRD5MTHEU05A02/mme/Gr5_Math_Data_TrackingHurricanes/LO1155/LO1155.html ty%204-6.pdf mathies: Notepad EduGAINS-Mathematics Page 8 of 10

9 Read and Interpret Data Resource URL Teacher Guide: Unit 5 Activity 2: Collecting, Organizing and Interpreting Data Assignment 1: Interpreting Line Graphs of Temperature html Central Tendency Resource Teacher Guide: Unit 5 Activity 1: Investigating Mean Unit 5 Activity 1: Minds On Mean Investigation How to Calculate an Average Video Assignment 1: Mean GRD5MTHEU05A02/assignment.html URL GRD5MTHEU05A01/content.html GRD5MTHEU05A01/assignment.html EduGAINS-Mathematics Page 9 of 10

10 Represent Central Tendency Resource URL Teacher Guide: Unit 5 Activity 1: Investigating Mean Unit 5 Activity 1: Action The Beat Goes On Graphing Heart Rates with Broken Line Graphs Assignment 2: More Mean mathies: Colour Tiles mathies: Notepad GRD5MTHEU05A01/content_2.html GRD5MTHEU05A01/mme/Gr5_Math_Data_BeatGoesOn/ARCHIVE/LO1114%20-%20Heart%20 Beat.html GRD5MTHEU05A01/assignment.html EduGAINS-Mathematics Page 10 of 10

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